elizahalabaku elizahalabaku
  • 01-03-2022
  • Mathematics
contestada

A parabola can be drawn given a focus of (4, -7) and a directrix of y = -5. Write the equation of the parabola in any form.

Respuesta :

Nepalieducation
Nepalieducation Nepalieducation
  • 01-03-2022

Answer:

-1/4(x-4)²-b

Step-by-step explanation:

Here,

The vertex of parabola is (4,-7)

Suppose that the equation of parabola is a(x-4)²-b

Now,

[tex]y=a(x-4)^{2} -b\\\\a=\frac{1}{-7-(-5)*2}\\\\a=\frac{1}{-7+5*2} \\\\a=-\frac{1}{4} \\[/tex]

Replacing value of a.

Hence,y=-1/4(x-4)²-b

Answer Link

Otras preguntas

Dison que votre oncle vous aller depenser cet argent
decision making worksheet answer key
49 red balls are mixed with 41 blue balls. What is the percentage of the ball mixture that is made up of red balls?
Explain why humans lose more water on a hot day then on a cold day
Please explain how to do this.
Which analogy best represents the relationship between jobs and careers? A career is like “a muffin or a cookie,” and a job is like “baked goods.” A career is l
What ended the use of the line-item veto at the national level? Explain.
Help please please help please answer
Kobina sells apple pies for 10gh each.kojo sells beverages for ghc1 each.if kobina sells 23 apple pies and kojo sells 17 beverages,what is the total in sales fo
Is Pluto part of the nine 9 planet